Polynomial Division

This quizizz requires paper, pencil, calculator, and time (note that the timer has been disabled).

• Got it!
• Nope, not going to do it.

Use long division to find the quotient of: (2x³ - 5x² + 3x + 7) ÷ (x - 2)

• 2x³ - x² + x + 9
• 2x² - x + 1
• 2x² - x + 1 + 9/x-2
• 2x² - 9x - 15 - 23/x-2

What is the proper way to write the quotient for the following problem? 

• 2x³-x²-25x-12
• 2x⁴-x³-25x²-12x+0

Is (x-4) a factor of (x³ +x² -16x-16)?

• YES
• NO

Is (x-3) a factor of
(x³ - 3x² + 2x + 2)?

• Yes
• No

Tags

CCSS.HSA.APR.B.2

Which of the following is not a way to determine p(5) if p(x) = x³ - 5x² + 2x - 10.

• Evaluate p(5) by plugging a 5 in for x.
• Divide the polynomial by x-5, and state the remainder.
• Determine the intersection y = 5 and p(x) by looking at the graph in the calculator.
• Divide the polynomial by x+5, and state the remainder.

What is the remainder R when the polynomial p(x) is divided by (x-5)?
p(x) = x³ - 5x² + 2x - 10

• 0
• 2x-10
• -2x-10
• 2x+10

Based on your answer to the last question, would you say that x = 5 is a zero of p(x) = x³ - 5x² + 2x - 10?

• Yes, because the remainder was zero, thus p(5) = 0.
• No, because the remainder was not zero, thus x=5 is not a zero.

Use synthetic division to determine f(-3), if
f(x)= (3x³ -5x² -4x +1).

• -25
• 25
• 113
• -113

Find all the factors of   x³ -3x² -4x +12 given that -2 is a zero.

• (x-2) (x+2) (x+3) 
• (x-2) (x-2) (x+3)
• (x+2) (x+2) (x+3)
• (x-2) (x+2) (x-3)

Tags

CCSS.HSA.APR.B.2